MATH 200C. Algebra III (4 units)
Link to catalog page: https://catalog.ucsd.edu/courses/MATH.html#math200C
Description
Third course in graduate algebra. Topics may include group actions, Sylow theorems, solvable and nilpotent groups, free groups and presentations, semidirect products, polynomial rings, unique factorization, chain conditions, modules over principal ideal domains, rational and Jordan canonical forms, tensor products, projective and flat modules, Galois theory, solvability by radicals, localization, primary decomposition, Hilbert Nullstellensatz, integral extensions, Dedekind domains, Krull dimension. Prerequisites: MATH 200B. Students who have not completed MATH 200B may enroll with consent of instructor.
Prerequisite courses
Loading...
Successor courses
MATH 200C is a prerequisite of the following 4 courses: